Quintic Equation

Algebra Level 4

If 1, 2, 3, 4, and 5 are solutions for x x to the equation

x 5 + A x 4 + B x 3 + C x 2 + D x + E = 0 , x^5 + Ax^4 + Bx^3 + Cx^2 + Dx + E = 0,

what is the value of A + B + C + D + E ? A+B+C+D+E?


The answer is -1.

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Eli Ross by Eli Ross

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1 solution

Eli Ross Staff
Sep 16, 2015

Since x = 1 x=1 is a solution to the equation, 1 + A + B + C + D + E = 0 , 1+A+B+C+D+E=0, so the desired sum is − 1. -1.

5 Helpful 0 Interesting 0 Brilliant 0 Confused

I this is the simplest way I also solved.

Niranjan Khanderia - 4 years, 11 months ago

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